1) (4x²+x-3)/( 5x²-9x-2 )<04x²+x-3=0D=1+48=49x1=(-1-7)/8=-1 U x2=(-1+7)/8=0,755x²-9x-2=0D=81+40=121x1=(9-11)/10=-0,2 U x2=(9+11)/10=2 + _ + _ +-------------[-1]-------------(-0,2)----------[0,75]---------(2)---------------x∈[-1;-0,2) U [0,75;2) 2)(2+9x-5x²)/ (3x²-2x-1) ≥0
5x²-9x-2=0D=81+40=121x1=(9-11)/10=-0,2 U x2=(9+11)/10=23x²-2x-1=0D=4+12=16x2=(2-4)/6=-1/3 U x2=(2+4)/6=1 _ + _ + _---------------(-1/3)------------[-0,1]---------------(1)-----------------[2]-----------------x∈(-1/3;-0,1] U (1;2]